$$x = 45(x+10)$$
Answer
$$ x = -\frac{225}{22} $$
Explanation
$$ \begin{aligned} x &= 45(x+10)&& \text{simplify right side} \\[1 em]x &= 45x+450&& \text{move the $ \color{blue}{ 45x } $ to the left side} \\[1 em]x-45x &= 450&& \text{simplify left side} \\[1 em]-44x &= 450&& \text{ divide both sides by $ -44 $ } \\[1 em]x &= -\frac{450}{44}&& \\[1 em]x &= -\frac{225}{22}&& \\[1 em] \end{aligned} $$
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